Abstract
Factorizations of monoids are studied. Two necessary and sufficient conditions in terms of the so-called descent 1-cocycles for a monoid to be factorized through two submonoids are found. A full classification of those factorizations of a monoid whose one factor is a subgroup of the monoid is obtained. The relationship between monoid factorizations and non-Abelian cohomology of monoids is analyzed. Some applications of semi-direct product of monoids are given.
Original language | English |
---|---|
Article number | 2450118 |
Journal | Journal of Algebra and its Applications |
DOIs | |
Publication status | Accepted/In press - 2023 |
Keywords
- descent cohomology
- factorization
- Monoid
- monoid action
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics